Finding the Third Proportional to 3,768 and 7,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768 : 7,642.50 = 7,642.50 : x
2. Step 2: Convert to fraction form
   3,768/7,642.50 = 7,642.50/x
3. Step 3: Cross multiply
   3,768x = 7,642.50 × 7,642.50
4. Step 4: Simplify right side
   3,768x = 58,407,806.25
5. Step 5: Solve for x
   x = 58,407,806.25/3,768
6. Step 6: Final answer
   x = 15,501.01